120112111112100 has 576 divisors, whose sum is σ = 375072932962560. Its totient is φ = 29613794918400.

The previous prime is 120112111112027. The next prime is 120112111112117. The reversal of 120112111112100 is 1211111211021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120112111112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35737014420 + ... + 35737017780.

Almost surely, 2^{120112111112100} is an apocalyptic number.

120112111112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120112111112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187536466481280).

120112111112100 is an abundant number, since it is smaller than the sum of its proper divisors (254960821850460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120112111112100 is a wasteful number, since it uses less digits than its factorization.

120112111112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 120112111112100 its reverse (1211111211021), we get a palindrome (121323222323121).

The spelling of 120112111112100 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred".